Pith Number

pith:4AIZAXPM

pith:2025:4AIZAXPMLSMBC4Z3DJDCRMZ4HT

not attested not anchored not stored refs pending

Generalized Theta Series of a Lattice

Hsuan-Yin Lin, Maiara F. Bollauf

arxiv:2507.03178 v2 · 2025-07-03 · cs.IT · math.IT · math.MG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4AIZAXPMLSMBC4Z3DJDCRMZ4HT}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-07-05T11:45:37.188494Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e011905dec5c9811733b1a4628b33c3cd2f7f9129f8e6a469aa75cf4c2a61ed0

Aliases

arxiv: 2507.03178 · arxiv_version: 2507.03178v2 · doi: 10.48550/arxiv.2507.03178 · pith_short_12: 4AIZAXPMLSMB · pith_short_16: 4AIZAXPMLSMBC4Z3 · pith_short_8: 4AIZAXPM

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/4AIZAXPMLSMBC4Z3DJDCRMZ4HT \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: e011905dec5c9811733b1a4628b33c3cd2f7f9129f8e6a469aa75cf4c2a61ed0

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a15c9d871d051a93700c5c093d6f6a8c69377d6305ee3eb6d7febb0981fee735",
    "cross_cats_sorted": [
      "math.IT",
      "math.MG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-nd/4.0/",
    "primary_cat": "cs.IT",
    "submitted_at": "2025-07-03T21:19:32Z",
    "title_canon_sha256": "d33038e5263a6c10c649a2e563c4c61ab05587e2e37b051e5eac952b009f6e85"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2507.03178",
    "kind": "arxiv",
    "version": 2
  }
}